Mode-Locking, Quasi-Period and Chaos of Rotors Mounted on Nonlinear BearingsReport as inadecuate

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International Journal of Rotating Machinery - Volume 6 2000, Issue 3, Pages 191-200

Department of Mechanical Engineering, Chung Yuan Christian University, Chung Li 320, Taiwan

Department of Mechanical Engineering, Sze Hai Institute of Technology and Commerce, China

Center for Aviation and Space Technology, Industrial Technology Research Institute, China

Received 24 April 1998; Revised 7 August 1998

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study is to investigate the dynamics of a rotor, with a single degree of freedom SDOF, mounted on nonlinear bearings. This system has piecewise-linear stiffness and is subjected to a forcing excitation due to residual mass imbalance as well as a parametric one due to an axial periodic thrust. The frequencies for each individual parametric and forcing excitations are not equivalent, neither do they have a ratio of two simple integers. By using the fourthorder Runge–Kutta method a J-integral model, this strongly nonlinear system can be estimated for various parameters. The J-integral bifurcation can be analyzed by using the Poincaré maps, the frequency spectra, the response waveforms, and the Lyapunov exponents in order to illustrate the jump phenomenon, the frequency-locking, and the routes to chaos. Furthermore, the intra-systematic relationship can be determined by the frequencies of spontaneous sidebanding clusters.

Author: Yeon-Pun Chang, Shoou-Chian Jen, Shun-Hsu Tu, Shyh-Shyong Shyr, and Yuan Kang



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